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Finding the Fourth Proportional to 492,643.94, 679,590.50 and 427,967.96

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Solution

The fourth proportional to 492,643.94, 679,590.50 and 427,967.96 is: 590,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,643.94 : 679,590.50 = 427,967.96 : x
  2. Step 2: Convert to fraction form
    492,643.94/679,590.50 = 427,967.96/x
  3. Step 3: Cross multiply
    492,643.94x = 679,590.50 × 427,967.96
  4. Step 4: Simplify right side
    492,643.94x = 290,842,954,382.59
  5. Step 5: Solve for x
    x = 290,842,954,382.59/492,643.94
  6. Step 6: Final answer
    x = 590,371.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.